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4102213241040 = 2435112111152461
BaseRepresentation
bin111011101100011110111…
…101101000100011010000
3112112011112021221100010020
4323230132331220203100
51014202313042203130
612420310350303440
7602242445136315
oct73543675504320
915464467840106
104102213241040
1113418144804a2
12563052ab7b80
13239ab5cc4655
141027962c6d0c
1571a94679e10
hex3bb1ef688d0

4102213241040 has 80 divisors (see below), whose sum is σ = 12717057889536. Its totient is φ = 1093906598400.

The previous prime is 4102213241039. The next prime is 4102213241057. The reversal of 4102213241040 is 401423122014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×41022132410402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4102213241040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26830410 + ... + 26982870.

Almost surely, 24102213241040 is an apocalyptic number.

4102213241040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102213241040 is an abundant number, since it is smaller than the sum of its proper divisors (8614844648496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4102213241040 is a wasteful number, since it uses less digits than its factorization.

4102213241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264588 (or 264582 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4102213241040 its reverse (401423122014), we get a palindrome (4503636363054).

The spelling of 4102213241040 in words is "four trillion, one hundred two billion, two hundred thirteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 112111 152461 224222 304922 336333 448444 457383 560555 609844 672666 762305 896888 914766 1121110 1219688 1345332 1524610 1681665 1793776 1829532 2242220 2286915 2439376 2690664 3049220 3363330 3659064 4484440 4573830 5381328 6098440 6726660 7318128 8968880 9147660 12196880 13453320 18295320 26906640 36590640 17092555171 34185110342 51277665513 68370220684 85462775855 102555331026 136740441368 170925551710 205110662052 256388327565 273480882736 341851103420 410221324104 512776655130 683702206840 820442648208 1025553310260 1367404413680 2051106620520 4102213241040